THE QUANTUM TEICHMÜLLER SPACE AS A NONCOMMUTATIVE ALGEBRAIC OBJECT

THE QUANTUM TEICHMÜLLER SPACE AS A NONCOMMUTATIVE ALGEBRAIC OBJECT
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作为非交换代数对象的量子泰希米勒空间

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发表时间:
2004
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通讯作者:
Xiaobo Liu
Xiaobo Liu
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作者:
Xiaobo Liu

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考虑Chekhov-Fock-Kashaev引入的穿孔曲面的量子Teichmuller空间,并将其形式化为曲面的Teichmuller空间上代数函数空间的非对易变形.为了将其应用于三维拓扑,我们把更多的注意力放在涉及小表面的细节。
We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov–Fock–Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmuller space of the surface. In order to apply it in 3-dimensional topology, we put more attention to the details involving small surfaces.